test/test_PAIR.js

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    to you under the Apache License, Version 2.0 (the
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    Unless required by applicable law or agreed to in writing,
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    "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
    KIND, either express or implied.  See the License for the
    specific language governing permissions and limitations
    under the License.
*/

/* Test MPIN - test driver and function exerciser for MPIN API Functions */

var CTX = require("../index");

var chai = require('chai');

var expect = chai.expect;

var pf_curves = ['BN254', 'BN254CX', 'BLS381', 'BLS383', 'BLS461', 'FP256BN', 'FP512BN', 'BLS24', 'BLS48'];

pf_curves.forEach(function(curve) {

    describe('TEST PAIR ' + curve, function() {

        var ctx = new CTX(curve),
            rng = new ctx.RAND(),
            r = new ctx.BIG(0),
            G = ctx.ECP.generator(),
            G1 = new ctx.ECP(0),
            G2 = new ctx.ECP(0),
            Gaux = new ctx.ECP(0);

        // Set curve order
        r.rcopy(ctx.ROM_CURVE.CURVE_Order);

        if (ctx.ECP.CURVE_PAIRING_TYPE === 1 | ctx.ECP.CURVE_PAIRING_TYPE === 2) {
            var Q = ctx.ECP2.generator(),
                Q1 = new ctx.ECP2(0),
                Q2 = new ctx.ECP2(0),
                Qaux = new ctx.ECP2(0),
                g11 = new ctx.FP12(0),
                g12 = new ctx.FP12(0),
                g21 = new ctx.FP12(0),
                g22 = new ctx.FP12(0),
                g1s = new ctx.FP12(0),
                gs1 = new ctx.FP12(0),
                aux1 = new ctx.FP12(0),
                aux2 = new ctx.FP12(0);

            // Set pairing interface
            var PAIR = ctx.PAIR;

        } else if (ctx.ECP.CURVE_PAIRING_TYPE === 3) {
            var Q = ctx.ECP4.generator(),
                Q1 = new ctx.ECP4(0),
                Q2 = new ctx.ECP4(0),
                Qaux = new ctx.ECP4(0),

                g11 = new ctx.FP24(0),
                g22 = new ctx.FP24(0),
                g1s = new ctx.FP24(0),
                gs1 = new ctx.FP24(0),
                aux1 = new ctx.FP24(0),
                aux2 = new ctx.FP24(0);

            // Set pairing interface
            var PAIR = ctx.PAIR192;

        } else if (ctx.ECP.CURVE_PAIRING_TYPE === 4) {
            var Q = ctx.ECP8.generator(),
                Q1 = new ctx.ECP8(0),
                Q2 = new ctx.ECP8(0),
                Qaux = new ctx.ECP8(0),

                g11 = new ctx.FP48(0),
                g22 = new ctx.FP48(0),
                g1s = new ctx.FP48(0),
                gs1 = new ctx.FP48(0),
                aux1 = new ctx.FP48(0),
                aux2 = new ctx.FP48(0);

            // Set pairing interface
            PAIR = ctx.PAIR256;
        }

        before(function(done) {
            this.timeout(0);

            var RAW = [];
            rng.clean();
            for (i = 0; i < 100; i++) RAW[i] = i;
            rng.seed(100, RAW);

            // Precompute terms
            x = ctx.BIG.randomnum(r,rng);
            y = ctx.BIG.randomnum(r,rng);
            s = ctx.BIG.randomnum(r,rng);
            G1 = PAIR.G1mul(G,x);
            Q1 = PAIR.G2mul(Q,y);
            sG1 = PAIR.G1mul(G1,s);
            sQ1 = PAIR.G2mul(Q1,s);
            x = ctx.BIG.randomnum(r,rng);
            y = ctx.BIG.randomnum(r,rng);
            G2 = PAIR.G1mul(G,x);
            Q2 = PAIR.G2mul(Q,y);

            g11 = PAIR.ate(Q1, G1);
            g11 = PAIR.fexp(g11);
            g22 = PAIR.ate(Q2, G2);
            g22 = PAIR.fexp(g22);

            if (ctx.ECP.CURVE_PAIRING_TYPE === 1 || ctx.ECP.CURVE_PAIRING_TYPE === 2) {
                g12 = PAIR.ate(Q1, G2);
                g12 = PAIR.fexp(g12);
                g21 = PAIR.ate(Q2, G1);
                g21 = PAIR.fexp(g21);
            }

            done();
        });

        // Test that e(sQ,G) = e(Q,sG) = e(Q,G)^s, s random
        it('test Bilinearity smul', function(done) {
            this.timeout(0);

            g1s = PAIR.ate(Q1, sG1);
            g1s = PAIR.fexp(g1s);
            gs1 = PAIR.ate(sQ1, G1);
            gs1 = PAIR.fexp(gs1);

            expect(g1s.toString()).to.be.equal(gs1.toString());

            gs1 = PAIR.GTpow(g11,s);

            expect(g1s.toString()).to.be.equal(gs1.toString());

            done();
        });

        if (ctx.ECP.CURVE_PAIRING_TYPE === 1 || ctx.ECP.CURVE_PAIRING_TYPE === 2) {
            // Test that e(Q1+Q2,G1) = e(Q1,G1).e(Q2,G1)
            it('test Bilinearity 1st', function(done) {
                this.timeout(0);

                aux1.copy(g11);
                aux1.mul(g21);

                Qaux.copy(Q1);
                Qaux.add(Q2);
                Qaux.affine();

                aux2 = PAIR.ate(Qaux, G1);
                aux2 = PAIR.fexp(aux2);

                expect(aux1.toString()).to.be.equal(aux2.toString());

                done();
            });

            // Test that e(Q1,G1+G2) = e(Q1,G1).e(Q1,G2)
            it('test Bilinearity 2nd', function(done) {
                this.timeout(0);

                aux1.copy(g11);
                aux1.mul(g12);

                Gaux.copy(G1);
                Gaux.add(G2);
                Gaux.affine();

                aux2 = PAIR.ate(Q1, Gaux);
                aux2 = PAIR.fexp(aux2);

                expect(aux1.toString()).to.be.equal(aux2.toString());

                done();
            });
        }

        // Test that ate2 correctly computes e(Q1,G1).e(Q2,G2)
        it('test Double Pairing', function(done) {
            this.timeout(0);

            aux1.copy(g11);
            aux1.mul(g22);

            aux2 = PAIR.ate2(Q1,G1,Q2,G2);
            aux2 = PAIR.fexp(aux2);

            expect(aux1.toString()).to.be.equal(aux2.toString());

            done();
        });
    });
});